Warmup 11/12/14 Directions: Complete the following warmup quiz. Once you’re finished, please put your pencil away and get out a pen or marker and wait.

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Presentation transcript:

Warmup 11/12/14 Directions: Complete the following warmup quiz. Once you’re finished, please put your pencil away and get out a pen or marker and wait for further instructions. Make sure your name is on your paper. 1) 𝑚 𝑂𝐿 = 2) 𝑚∠𝑂𝑃𝑀 3) 𝑚 𝑁𝑂𝐿 = 4) 𝑚 𝑂𝑁𝑀 = are diameters. Find the indicated measures. 𝑂𝐿 =55° ∠𝑂𝑃𝑀=130° 𝑁𝑂𝐿 =180° 𝑂𝑁𝑀 =230°

Homework Review

EOCT Review Megan is using an equilateral triangle as part of a design on a sweatshirt. Each side of the triangle is 12 inches long. Megan is gluing a line of stars from the midpoint of one side of this triangle to the opposite vertex. Approximately how long will the line of stars be? 13.4 10.4 8.5 5.2 b

CCGPS Geometry Day 22 (9-6-13) UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: What other angle relationships do we know for circles? Standard: MMC9-12.G.C.2

Case I: Vertex is AT the center P C B

Case II: Vertex is ON circle ANGLE ARC ARC This case includes: inscribed and tangent angles ANGLE

Ex. 1 Find m1. 1 84° 𝑚∠1=42°

202° Ex. 2 Find m1. 1 𝑚∠1=79°

Case III: Vertex is INSIDE circle ARC B ANGLE D ARC C Be sure to emphasize that the angles are directly across from the arcs…. Big problem last year Looks like a PLUS sign!

Ex. 3 Find m1. 93° A B 1 D C 113° 𝑚∠1=103°

Ex. 4 Find mQT. N Q 84° 92° M T 𝑚 𝑄𝑇 =100°

Ex. 5 Find x. 45 93 xº 89 𝑥=89°

Case IV: Vertex is OUTSIDE circle ANGLE small ARC A − LARGE ARC D B I can foresee a problem with locating the Large Arc OR subtracting the Small Arc from the Large Arc

Ex. 6 Find m1. 1 15° A D 65° B 𝑚∠=25°

Ex. 7 Find mAB. A 27° 70° B 𝑚 𝐴𝐵 =16°

Ex. 8 Find m1. 260° 1 𝑚∠1=80°

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